64123416 has 96 divisors (see below), whose sum is σ = 202775040. Its totient is φ = 17924544.

The previous prime is 64123399. The next prime is 64123421. The reversal of 64123416 is 61432146.

64123416 is a `hidden beast` number, since 641 + 2 + 3 + 4 + 16 = 666.

It is a super-2 number, since 2×64123416² = 8223624959018112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64123416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22335 + ... + 25041.

It is an arithmetic number, because the mean of its divisors is an integer number (2112240).

Almost surely, 2^64123416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64123416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101387520).

64123416 is an abundant number, since it is smaller than the sum of its proper divisors (138651624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64123416 is a wasteful number, since it uses less digits than its factorization.

64123416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2766 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 64123416 is about 8007.7097849510. The cubic root of 64123416 is about 400.2569515710.

The spelling of 64123416 in words is "sixty-four million, one hundred twenty-three thousand, four hundred sixteen".